Finding LCM with Prime Factorization Techniques

What is the first step in finding the LCM of two numbers using prime factorization?

• Divide the larger number by the smaller number

• Add the two numbers together

• Find the prime factors of each number

• List all the multiples of the numbers

What are the prime factors of 12?

• 2 and 6

• 2, 2, and 3

• 2, 3, and 6

• 3 and 4

How many times does the prime factor 2 appear in the prime factorization of 32?

• 5 times

• 2 times

• 3 times

• 4 times

When creating a table of prime factors, what should you do if there is no match for a factor?

• Skip the column

• Leave a space

• Repeat the previous factor

• Write zero

What is the LCM of 12 and 32?

• 128

• 96

• 64

• 48

What are the prime factors of 28?

• 2, 2, and 7

• 4 and 7

• 2 and 14

• 2, 4, and 7

What is the LCM of 28 and 35?

• 105

• 70

• 140

• 175

Which of the following is a prime factor of 35?

• 2

• 5

• 6

• 8

What is the first step in finding the LCM of 15, 32, and 66?

• Find the prime factors of each number

• Add the three numbers together

• Divide the largest number by the smallest number

• List all the multiples of the numbers

Why is the prime factorization method useful for finding the LCM of larger numbers?

• It is easier to understand

• It is more accurate

• It is faster than listing multiples

• It works for any size of numbers